--- title: "Permutation Calculator | Probability & Combinatorics Tool | XTRAW Tools" description: "Calculate nPr — the number of ordered arrangements of r items from n. Use this free browser-based probability calculator from XTRAW Tools for quick counting and chance estimates." url: "https://xtraw.com/calculators/statistics-calculators/permutation-calculator" date: "2026-05-20T22:49:01+00:00" language: "en-GB" --- [Z Score Calculator](https://xtraw.com/calculators/statistics-calculators/z-score-calculator)[A/B Test Calculator](https://xtraw.com/calculators/statistics-calculators/ab-test-calculator) [![Permutation Calculator from XTRAW Tools](https://xtraw.com/images/virtuemart/product/xtraw-permutation-calculator-360x360.jpg)](https://xtraw.com/images/virtuemart/product/xtraw-permutation-calculator-360x360.jpg "Permutation Calculator from XTRAW Tools") new [Back to: Statistics Calculators](https://xtraw.com/calculators/statistics-calculators "Statistics Calculators") # Permutation Calculator Calculate nPr — the number of ordered arrangements of r items from n. Use this free browser-based permutation calculator from XTRAW Tools. **Permutation Calculator** helps you calculate nPr — the number of ordered arrangements of r items from n. Use this free browser-based calculator from XTRAW Tools to compare inputs, estimate results, and plan your next step. ## How to Use the Permutation Calculator 1. Enter the required calculator inputs shown in the form. 2. Review the probability, experiment, sample, velocity, acceleration, distance, force, angle, or physics assumptions. 3. Run the calculator, then adjust one input at a time to compare scenarios or check your estimate. ## What This Calculator Helps With Calculate nPr — the number of ordered arrangements of r items from n. It is designed for students, teachers, probability learners, analysts, game users, researchers, and anyone working with probability or counting problems who want a fast, browser-based estimate before relying on a spreadsheet, textbook, analytics platform, physics software, research software, professional source, or specialist. - n (total items): 10 - r (items arranged): 3 ## Common Uses People use this calculator when they need a quick way to estimate chance, count outcomes, compare probability assumptions, or check a combinatorics formula. - **Math Solving:** Solve probability, combinatorics, A/B testing, effect size, physics, motion, force, or work formulas from entered values. - **Random Selection:** Explore lottery, probability, and counting outcomes for education, planning, and chance demonstrations. - **Measurement:** Measure odds, combinations, conversion lift, effect size, velocity, acceleration, force, work, range, or related computed values. ## Formula or Method P(n,r) = n! / (n−r)! ## Example **Example inputs:** n (total items): 10; r (items arranged): 3 **Example result:** Using the default inputs, P(10,3) = 720. ## Related Tools - [Combination Calculator](https://xtraw.com/tools/combination-calculator) - [Probability Calculator](https://xtraw.com/tools/probability-calculator) - [Dice Probability Calculator](https://xtraw.com/tools/dice-probability-calculator) - [Coin Flip Probability Calculator](https://xtraw.com/tools/coin-flip-probability-calculator) - [Card Probability Calculator](https://xtraw.com/tools/card-probability-calculator) ## Permutation Calculator FAQ ### Is the Permutation Calculator free? Yes. This calculator is free to use on XTRAW Tools. ### Do I need to create an account? No. XTRAW tools are designed for browser-based use without requiring an account. ### Are the results exact? Results may be estimates depending on the inputs, formula, rounding, selected method, probability model, physics assumption, or purpose of the calculator. Always verify important results before relying on them. **Disclaimer:** This calculator is provided for general informational, educational, and convenience purposes only. It is not legal, financial, medical, gambling, lottery, academic, research, statistical consulting, safety, or professional advice. 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